A 24 hour day is how many times as long as 60 seconds?

1,440 minutes

Step-by-step explanation:

Explanation: 60 seconds is 1 minute. There are 60 minutes in 1 hour, so there are 60 × 24 = 1,440 minutes in 24 hours.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is